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Umfang: 1 online resource (331 p.)

Ausgabe: Matlab ed., 3rd ed.

ISBN: 1-283-73512-1 , 0-12-397784-3

Inhalt: Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem setsAdvanced color graphicsCoverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervalsOnline da

Anmerkung: Description based upon print version of record. , Front Cover; Geophysical Data Analysis: Discrete Inverse Theory; Copyright; Dedication; Preface; Reference; Companion Web Site; Contents; Introduction; I.1. Forward and Inverse Theories; I.2. MatLab as a Tool for Learning Inverse Theory; I.3. A Very Quick MatLab Tutorial; I.4. Review of Vectors and Matrices and Their Representation in MatLab; I.5. Useful MatLab Operations; I.5.1. Loops; I.5.2. Loading Data from a File; I.5.3. Plotting Data; I.5.4. Creating Character Strings Containing the Values of Variables; I.5.4 References; Chapter 1: Describing Inverse Problems , 1.1. Formulating Inverse Problems1.1.1. Implicit Linear Form; 1.1.2. Explicit Form; 1.1.3. Explicit Linear Form; 1.2. The Linear Inverse Problem; 1.3. Examples of Formulating Inverse Problems; 1.3.1. Example 1: Fitting a Straight Line; 1.3.2. Example 2: Fitting a Parabola; 1.3.3. Example 3: Acoustic Tomography; 1.3.4. Example 4: X-ray Imaging; 1.3.5. Example 5: Spectral Curve Fitting; 1.3.6. Example 6: Factor Analysis; 1.4. Solutions to Inverse Problems; 1.4.1. Estimates of Model Parameters; 1.4.2. Bounding Values; 1.4.3. Probability Density Functions , 1.4.4. Sets of Realizations of Model Parameters1.4.5. Weighted Averages of Model Parameters; 1.5. Problems; 1.5 References; Chapter 2: Some Comments on Probability Theory; 2.1. Noise and Random Variables; 2.2. Correlated Data; 2.3. Functions of Random Variables; 2.4. Gaussian Probability Density Functions; 2.5. Testing the Assumption of Gaussian Statistics; 2.6. Conditional Probability Density Functions; 2.7. Confidence Intervals; 2.8. Computing Realizations of Random Variables; 2.9. Problems; 2.9 References; Chapter 3: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1 , 3.1. The Lengths of Estimates3.2. Measures of Length; 3.3. Least Squares for a Straight Line; 3.4. The Least Squares Solution of the Linear Inverse Problem; 3.5. Some Examples; 3.5.1. The Straight Line Problem; 3.5.2. Fitting a Parabola; 3.5.3. Fitting a Plane Surface; 3.6. The Existence of the Least Squares Solution; 3.6.1. Underdetermined Problems; 3.6.2. Even-Determined Problems; 3.6.3. Overdetermined Problems; 3.7. The Purely Underdetermined Problem; 3.8. Mixed-Determined Problems; 3.9. Weighted Measures of Length as a Type of A Priori Information; 3.9.1. Weighted Least Squares , 3.9.2. Weighted Minimum Length3.9.3. Weighted Damped Least Squares; 3.10. Other Types of A Priori Information; 3.10.1. Example: Constrained Fitting of a Straight Line; 3.11. The Variance of the Model Parameter Estimates; 3.12. Variance and Prediction Error of the Least Squares Solution; 3.13. Problems; 3.13References; Chapter 4: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2; 4.1. Solutions Versus Operators; 4.2. The Data Resolution Matrix; 4.3. The Model Resolution Matrix; 4.4. The Unit Covariance Matrix; 4.5. Resolution and Covariance of Some Generalized Inverses , 4.5.1. Least Squares , English

Weitere Ausg.: ISBN 0-12-397160-8

Sprache: Englisch

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Umfang: XXXVI, 293 S. : , Ill., graph. Darst.

Ausgabe: Matlab ed., 3. ed.

ISBN: 978-0-12-397160-9

Inhalt: "The treatment of inverse theory in this book is divided into four parts. Chapters 1 and 2 provide a general background, explaining what inverse problems are and what constitutes their solution as well as reviewing some of the basic concepts from linear algebra and probability theory that will be applied throughout the text. Chapters 3-7 discuss the solution of the canonical inverse problem: the linear problem with Gaussian statistics. This is the best understood of all inverse problems; and it is here that the fundamental notions of uncertainty, uniqueness, and resolution can be most clearly developed. Chapters 8-11 extend the discussion to problems that are non-Gaussian, nonlinear and continuous. Chapters 12-13 provide examples of the use of inverse theory and a discussion of the steps that must be taken to solve inverse problems on a computer"

Sprache: Englisch

Fachgebiete: Physik , Geographie

Schlagwort(e): Geophysik ; Meereskunde ; Messung ; Inverses Problem ; Geophysik ; Datenauswertung ; Inverses Problem ; Geophysik ; Datenverarbeitung ; MATLAB ; Geophysik ; Daten ; Inversion ; Datenauswertung ; MATLAB ; Geophysik ; Datenanalyse ; Inverses Problem ; Geophysik ; Daten ; Matrixinversion ; Datenanalyse ; Inverses Problem ; MATLAB

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URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025271192&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

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URL: Inhaltstext

URL: Ausführliche Beschreibung

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Umfang: Online-Ressource

Ausgabe: MATLAB ed.; 3rd ed

Ausgabe: Online-Ausg. 2011 Online-Ausg

ISBN: 0123977843 , 9780123977847

Inhalt: Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem setsAdvanced color graphicsCoverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervalsOnline data sets and MATLAB scripts that can be used as an inverse theory tutorial. Additional material on probability, including Bayesian influence, probability density function, and metropolis algorithmDetailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studiesNumerous examples and end-of-chapter homework problems help you explore and further understand the ideas presentedUse as classroom text facilitated by a complete set of exemplary lectures in Microsoft PowerPoint format and homework problem solutions for instructors

Anmerkung: Includes bibliographical references and index , Description based on title from publisher's website (ScienceDirect; viewed on June 20, 2012) , Online-Ausg.

Weitere Ausg.: ISBN 0123971608

Weitere Ausg.: ISBN 9780123971609

Weitere Ausg.: Erscheint auch als Druck-Ausgabe Geophysical data analysis

Weitere Ausg.: Erscheint auch als Druck-Ausgabe Menke, William, 1954 - Geophysical data analysis Amsterdam : Elsevier, 2012 ISBN 0123971608

Weitere Ausg.: ISBN 9780123971609

Sprache: Englisch

Fachgebiete: Physik , Geographie

Schlagwort(e): Geophysik ; Daten ; Inversion ; Datenauswertung ; MATLAB ; Datenanalyse ; Inverses Problem ; MATLAB

URL: Volltext

URL: Inhaltstext

UID:

Umfang: 1 Online-Ressource (XXXVI, 293 S.) : , Ill., graph. Darst.

Ausgabe: Matlab ed., 3. ed.

ISBN: 978-0-12-397784-7 , 0-12-397784-3

Weitere Ausg.: Erscheint auch als Druck-Ausgabe, Hardcover ISBN 978-0-12-397160-9

Weitere Ausg.: Erscheint auch als Druck-Ausgabe, Hardcover ISBN 0-12-397160-8

Sprache: Englisch

Fachgebiete: Physik , Geographie

Schlagwort(e): Geophysik ; Meereskunde ; Messung ; Inverses Problem ; Geophysik ; Datenauswertung ; Inverses Problem ; Geophysik ; Datenverarbeitung ; MATLAB ; Geophysik ; Daten ; Inversion ; Datenauswertung ; MATLAB ; Geophysik ; Datenanalyse ; Inverses Problem ; Geophysik ; Daten ; Matrixinversion ; Datenanalyse ; Inverses Problem ; MATLAB

URL: Volltext

UID:

Umfang: 1 Online-Ressource (XXXVI, 293 S.) : , Ill., graph. Darst.

Ausgabe: Matlab ed., 3. ed.

ISBN: 978-0-12-397784-7 , 0-12-397784-3

Weitere Ausg.: Erscheint auch als Druck-Ausgabe, Hardcover ISBN 978-0-12-397160-9

Weitere Ausg.: Erscheint auch als Druck-Ausgabe, Hardcover ISBN 0-12-397160-8

Sprache: Englisch

Fachgebiete: Physik , Geographie

Schlagwort(e): Geophysik ; Meereskunde ; Messung ; Inverses Problem ; Geophysik ; Datenauswertung ; Inverses Problem ; Geophysik ; Datenverarbeitung ; MATLAB ; Geophysik ; Daten ; Inversion ; Datenauswertung ; MATLAB ; Geophysik ; Datenanalyse ; Inverses Problem ; Geophysik ; Daten ; Matrixinversion ; Datenanalyse ; Inverses Problem ; MATLAB

URL: Volltext

UID:

Umfang: 1 Online-Ressource.

Ausgabe: MATLAB ed.; 3rd ed

ISBN: 978-0-12-397784-7 , 978-0-12-397160-9

Sprache: Englisch

Fachgebiete: Physik

Schlagwort(e): Geophysik ; Daten ; Inversion ; Datenauswertung ; MATLAB ; Datenanalyse ; Inverses Problem ; MATLAB ; Geophysik ; Meereskunde ; Messung ; Inverses Problem ; Geophysik ; Datenauswertung ; Inverses Problem ; Geophysik ; Datenanalyse ; Inverses Problem ; Geophysik ; Daten ; Matrixinversion ; Geophysik ; Datenverarbeitung ; MATLAB